Dead reckoning is the process of estimating a vessel’s current position by advancing a known position using course, speed, time, and distance.
Celestial navigation complements this by providing fixes based on celestial observations.

As time passes after obtaining a reliable fix, the uncertainty circle gradually expands.
In response, the navigator meticulously scans the region bounded by the two tangent lines for any potential navigational hazards.
If the uncertainty circle grows too large, it is imperative for the navigator to acquire a fresh fix using whatever means are at their disposal.

Knowing your DR (Dead Reckoning) position is a starting point on this self-instruction website to obtain your line of position at sea after a sextant observation

Estimated latitude (L)
Estimated longitude (G)
Note: In this guide, ‘L’ and ‘G’ refer to estimated latitude and longitude respectively, deviating from the traditional φ and λ to enhance clarity.

Firstly, dead reckoning is used to determine the current position of a vessel that has been followed from a known position.

The captain must use the log to obtain the speed and distance traveled by our vessel.

The uncertainty in the estimated position (DR) increases especially with the elapsed navigation time.

In reality, the accuracy of DR positions often depends on external factors such as weather, strong currents, and storm conditions.

A known position can be obtained with a sextant by taking two sun sights a few hours apart and determining their intersection.

To correct your DR position, you can perform a running fix using two or more sun sights taken at different times
see also: celestial plotting sheets

Dead reckoning and celestial navigation

Importance of the DR position!
However, modern methods of navigation tend to relativize the importance of esteem (DR).
In conclusion, only one golden rule exists in navigation, it serves as a safeguard:
DR dead reckoning MUST BE MAINTAINED (FOLLOWED), REGARDLESS OF the NAVIGATION METHOD USED
french navigation book “TRAITE DE NAVIGATION” ( M CAILLOU ; D LAURANT ; F PERCIER )

